The Saddlers, who went 17 games without a win earlier in the campaign, have lost just once in 2013.
This upturn in form has moved them up to eighth in the League One table, four points adrift of the playoff places.
"All season we've had ups and down, but we haven't really changed much," Chambers told BBC Radio WM.
"We're confident in the squad we've got - it's a young squad but we've got confidence in everyone. We're just confident at the moment and we'll hopefully keep this going until the end of the season.
"We just take it one game at a time. I know it sounds boring saying that, but that's how we have to look at it."
Walsall host Crawley Town on Saturday afternoon.